Large language models can write essays, solve math problems, and generate computer code, but it’s not fully understood how ...

In mammals, hair follicles emerge during embryonic development, forming geometric patterns that vary from one species to ...

A once-mocked budget Porsche is now outselling rivals at auction, and nobody saw it coming.

Earthquakes happen daily, sometimes with devastating consequences, yet predicting them remains out of reach. What scientists can do is map the hidden layers beneath the surface that control how ...

A mathematical problem that had remained unsolved for more than 10 years in the physics of complex systems has finally been ...

Three Duke Rugby players who are math majors tackled a challenge inspired by professional soccer Daniel Cheng, Malachy ...

Abstract: This paper is based on fluid dynamics principle and analyzes the generation mechanism of pressure fluctuations in common rail (CR). We have derived a hyperbolic partial differential equation ...

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

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Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

Abstract: Automated Guided Vehicles (AGVs) have found widespread application in discrete manufacturing systems. In flexible job-shop environments, the integrated scheduling of machines and AGVs is a ...